2564010 has 48 divisors (see below), whose sum is σ = 6888960. Its totient is φ = 660960.

The previous prime is 2563997. The next prime is 2564011. The reversal of 2564010 is 104652.

It is a happy number.

2564010 is a `hidden beast` number, since 25 + 640 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2331 + ... + 3249.

It is an arithmetic number, because the mean of its divisors is an integer number (143520).

2^2564010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444480).

2564010 is an abundant number, since it is smaller than the sum of its proper divisors (4324950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2564010 is a wasteful number, since it uses less digits than its factorization.

2564010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2564010 is about 1601.2526346583. The cubic root of 2564010 is about 136.8694655922.

Adding to 2564010 its reverse (104652), we get a palindrome (2668662).

The spelling of 2564010 in words is "two million, five hundred sixty-four thousand, ten".